kevin burrage
kevin burrage
Professor Computational Mathematics, Queensland University of Technology
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Parallel and sequential methods for ordinary differential equations
K Burrage
Clarendon Press, 1995
Stability and convergence of the difference methods for the space–time fractional advection–diffusion equation
F Liu, P Zhuang, V Anh, I Turner, K Burrage
Applied Mathematics and Computation 191 (1), 12-20, 2007
Stochastic approaches for modelling in vivo reactions
TE Turner, S Schnell, K Burrage
Computational biology and chemistry 28 (3), 165-178, 2004
Binomial leap methods for simulating stochastic chemical kinetics
T Tian, K Burrage
The Journal of chemical physics 121 (21), 10356-10364, 2004
Stability criteria for implicit Runge–Kutta methods
K Burrage, JC Butcher
SIAM Journal on Numerical Analysis 16 (1), 46-57, 1979
Non-linear stability of a general class of differential equation methods
K Burrage, JC Butcher
BIT Numerical Mathematics 20 (2), 185-203, 1980
Restarted GMRES preconditioned by deflation
J Erhel, K Burrage, B Pohl
Journal of computational and applied mathematics 69 (2), 303-318, 1996
Oscillatory regulation of Hes1: discrete stochastic delay modelling and simulation
M Barrio, K Burrage, A Leier, T Tian
PLoS computational biology 2 (9), 2006
ISIS, the intron information system, reveals the high frequency of alternative splicing in the human genome
L Croft, S Schandorff, F Clark, K Burrage, P Arctander, JS Mattick
Nature genetics 24 (4), 340-341, 2000
Stochastic models for regulatory networks of the genetic toggle switch
T Tian, K Burrage
Proceedings of the national Academy of Sciences 103 (22), 8372-8377, 2006
High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations
K Burrage, PM Burrage
Applied Numerical Mathematics 22 (1), 81-102, 1996
A special family of Runge-Kutta methods for solving stiff differential equations
K Burrage
BIT Numerical Mathematics 18 (1), 22-41, 1978
Fourier spectral methods for fractional-in-space reaction-diffusion equations
A Bueno-Orovio, D Kay, K Burrage
BIT Numerical mathematics 54 (4), 937-954, 2014
Numerical methods for strong solutions of stochastic differential equations: an overview
K Burrage, PM Burrage, T Tian
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2004
Identifying optimal lipid raft characteristics required to promote nanoscale protein-protein interactions on the plasma membrane
DV Nicolau, K Burrage, RG Parton, JF Hancock
Molecular and cellular biology 26 (1), 313-323, 2006
A Crank--Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation
F Zeng, F Liu, C Li, K Burrage, I Turner, V Anh
SIAM Journal on Numerical Analysis 52 (6), 2599-2622, 2014
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
F Liu, C Yang, K Burrage
Journal of Computational and Applied Mathematics 231 (1), 160-176, 2009
Finite difference methods and a Fourier analysis for the fractional reaction–subdiffusion equation
C Chen, F Liu, K Burrage
Applied Mathematics and Computation 198 (2), 754-769, 2008
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations
K Burrage, N Hale, D Kay
SIAM Journal on Scientific Computing 34 (4), A2145-A2172, 2012
Stochastic delay differential equations for genetic regulatory networks
T Tian, K Burrage, PM Burrage, M Carletti
Journal of Computational and Applied Mathematics 205 (2), 696-707, 2007
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